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Finding the Fourth Proportional to 8,226.54, 12,318.54 and 7,541.48

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Solution

The fourth proportional to 8,226.54, 12,318.54 and 7,541.48 is: 11,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.54 : 12,318.54 = 7,541.48 : x
  2. Step 2: Convert to fraction form
    8,226.54/12,318.54 = 7,541.48/x
  3. Step 3: Cross multiply
    8,226.54x = 12,318.54 × 7,541.48
  4. Step 4: Simplify right side
    8,226.54x = 92,900,023.04
  5. Step 5: Solve for x
    x = 92,900,023.04/8,226.54
  6. Step 6: Final answer
    x = 11,292.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.